document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=105566>Question 105566</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534493947/algebrahomeworkh>Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Goodmorning everyone, can some one help me to evaluate this expression;<BR>\n" );
document.write( "log(subscript 8)8^9???<BR>\n" );
document.write( "Thanks Ya'll! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #76839 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=76839\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%288%2C8%5E9%29+=+y ALIGN=MIDDLE  ALT=\"log%288%2C8%5E9%29+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Note that if you solve for y, the answer is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%288%2C8%5E9%29 ALIGN=MIDDLE  ALT=\"log%288%2C8%5E9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "One way to solve this equation is to translate it to the exponential form of the logarithm.<BR>\n" );
document.write( "The translation uses the relationship that:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2CA%29=+y ALIGN=MIDDLE  ALT=\"log%28b%2CA%29=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equivalent to the exponential form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5Ey+=+A ALIGN=MIDDLE  ALT=\"b%5Ey+=+A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "By comparing the log form in the translation to the log form you were given in this problem<BR>\n" );
document.write( "you can see that:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+8 ALIGN=MIDDLE  ALT=\"b+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+8%5E9 ALIGN=MIDDLE  ALT=\"A+=+8%5E9\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+y ALIGN=MIDDLE  ALT=\"y+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Substituting the values on the right side for b, A, and y in the exponential form you<BR>\n" );
document.write( "get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5Ey+=+8%5E9 ALIGN=MIDDLE  ALT=\"8%5Ey+=+8%5E9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Looking at this equation, you can see that to make the left side equal to the right side<BR>\n" );
document.write( "the exponents have to be equal. In other words, y has to be 9 for the two sides to be<BR>\n" );
document.write( "equal. And since y is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%288%2C8%5E9%29 ALIGN=MIDDLE  ALT=\"log%288%2C8%5E9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then you can say that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%288%2C8%5E9%29 ALIGN=MIDDLE  ALT=\"log%288%2C8%5E9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > equals 9.<BR>\n" );
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document.write( "Hope this helps you to understand the problem.<BR>\n" );
document.write( ". </SPAN>\n" );
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